Solving for the Variable

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GED Math › Solving for the Variable

Questions 1 - 10
1

Solve for :

Explanation

2

If , what is the value of ?

Explanation

The first step in the process of solving for in this problem is to use the distributive property to distribute the to what is inside the parentheses.

The next step is to isolate the variable by using inverse operations. In this example, in order to get rid of the , you would add to both sides of the equation.

The next step is to divide both sides by the coefficient, (the number next to the variable), which in this case is .

3

If , then what is the value of ?

Explanation

In order to solve for the value of you must isolate the variable. This is done by subtracting the constant in this equation, which is 12, from both sides of the equation.

4

Rearrange the following equation so that it is solved for "b"

Explanation

Rearrange the following equation so that it is solved for "b"

This problem may look intimidating, but don't be overwhelmed! Read the problem carefully, all we need to do is get the b all by itself.

To do this, let's first multiply both sides by 4x.

Next, we simply need to divide both sides by 3 to get the b all by itself.

One last thing, we can simplify the denominator and get rid of our three by dividing a three out of the 12 and the 6.

This yields:

5

Solve for :

Explanation

Multiply both sides by 4 to isolate :

6

Which of the following makes this equation true:

Explanation

To answer the question, we will solve for x. So, we get

7

Solve for :

Explanation

Subtract 3 from both sides.

Multiply by eight on both sides to isolate the variable.

The answer is:

8

Solve for the variable:

Explanation

Subtract from both sides.

Add 3 on both sides.

The answer is:

9

Which of the following makes this equation true:

Explanation

To answer this question, we will solve for y. We get

10

Give the solution set:

Explanation

Collect the like terms by subtracting from both sides:

Isolate on the right by dividing both sides by . Reverse the direction of the inequality symbol, since you are dividing by a negative number:

The solution set is .

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